WebbAxiomatically, Shapley defines his power index (the Shapley value) as a mapping which assigns, to each n-person game v, an n-vector (imputation) Φ[v] satisfying (1) efficiency … WebbHowever, extending the Shapley value to assigning attributions to interactions rather than individual players, an interaction index, is non-trivial: as the natural set of axioms for the original Shapley values, extended to the context of interactions, no longer specify a unique interaction index.

[1902.05622] The Shapley Taylor Interaction Index - arXiv.org

Webb2 mars 2024 · However, extending the Shapley value to assigning attributions to interactions rather than individual players, an interaction index, is non-trivial: as the … Webb9.6.1 Definition. The goal of SHAP is to explain the prediction of an instance x by computing the contribution of each feature to the prediction. The SHAP explanation method computes Shapley values from … flowing water guqin

Faith-Shap: The Faithful Shapley Interaction Index - ResearchGate

Webb20 feb. 2024 · Further, we propose a new type of interaction index, i.e., the sum interaction index, and investigate its properties with respect to the additive, subadditive and superadditive monotone measures. Some comparison analyses of the sum interaction index with the Shapley interaction index are also given by several illustrative examples. Webb9.5. Shapley Values. A prediction can be explained by assuming that each feature value of the instance is a “player” in a game where the prediction is the payout. Shapley values – … Webbtry. These interaction indices extend the Banzhaf and Shapley values when using in addition two equivalent recursive axioms. Lastly, we give an expres-sion of the Banzhaf and Shapley interaction indices in terms of pseudo-Boolean functions. Key words: Cooperative games, interaction among players, Shapley values, Banzhaf values, coalition 1 ... greencastle pa to wilkes barre pa